835249824 has 72 divisors (see below), whose sum is σ = 2378032020. Its totient is φ = 278089728.

The previous prime is 835249817. The next prime is 835249829. The reversal of 835249824 is 428942538.

It can be written as a sum of positive squares in 2 ways, for example, as 821854224 + 13395600 = 28668^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 835249824.

It is not an unprimeable number, because it can be changed into a prime (835249829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487882 + ... + 489590.

Almost surely, 2^835249824 is an apocalyptic number.

It is an amenable number.

835249824 is an abundant number, since it is smaller than the sum of its proper divisors (1542782196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

835249824 is a wasteful number, since it uses less digits than its factorization.

835249824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3411 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 835249824 is about 28900.6889883269. The cubic root of 835249824 is about 941.7568712746.

The spelling of 835249824 in words is "eight hundred thirty-five million, two hundred forty-nine thousand, eight hundred twenty-four".